{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:SOSUTI3BTLL2XW4WVY2G5ZR47S","short_pith_number":"pith:SOSUTI3B","schema_version":"1.0","canonical_sha256":"93a549a3619ad7abdb96ae346ee63cfc899456e5cd7764f83eb837e54a92a61d","source":{"kind":"arxiv","id":"2407.05972","version":1},"attestation_state":"computed","paper":{"title":"One-Dimensional Carrollian Fluids III: Global Existence and Weak Continuity in $L^\\infty$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"math.AP","authors_text":"Grigalius Taujanskas, P. Marios Petropoulos, Simon Schulz","submitted_at":"2024-07-08T14:13:04Z","abstract_excerpt":"The Carrollian fluid equations arise as the $c \\to 0$ limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat-space holography community. However, the rigorous mathematical well-posedness theory for these equations does not appear to have been previously studied. This paper is the third in a series in which we initiate the systematic analysis of the Carrollian fluid equations. In the present work we prove the global-in-time existence of bounded entropy solutions to the isentropic Carrollian fluid equations in one spatial dimension for a particula"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2407.05972","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-08T14:13:04Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"330523c7a371a8ff34bcb78034e61c1789cea00a7b1d7d8ccb4e80f02a6ce8b0","abstract_canon_sha256":"0d3effff24aa37b6ab4bd434750c4af7fb78279e509ee8911fc3780012f64023"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:15:17.124142Z","signature_b64":"pvybymT+rN0Pd12sUWJXgtJ2lgZeM5bytuk+lddE7Bve6UMS42IOocvd1HMmcbqcjSp/bze8wG89KMBXi96pCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93a549a3619ad7abdb96ae346ee63cfc899456e5cd7764f83eb837e54a92a61d","last_reissued_at":"2026-07-05T11:15:17.123628Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:15:17.123628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-Dimensional Carrollian Fluids III: Global Existence and Weak Continuity in $L^\\infty$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"math.AP","authors_text":"Grigalius Taujanskas, P. Marios Petropoulos, Simon Schulz","submitted_at":"2024-07-08T14:13:04Z","abstract_excerpt":"The Carrollian fluid equations arise as the $c \\to 0$ limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat-space holography community. However, the rigorous mathematical well-posedness theory for these equations does not appear to have been previously studied. This paper is the third in a series in which we initiate the systematic analysis of the Carrollian fluid equations. In the present work we prove the global-in-time existence of bounded entropy solutions to the isentropic Carrollian fluid equations in one spatial dimension for a particula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.05972","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.05972/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2407.05972","created_at":"2026-07-05T11:15:17.123692+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.05972v1","created_at":"2026-07-05T11:15:17.123692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.05972","created_at":"2026-07-05T11:15:17.123692+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOSUTI3BTLL2","created_at":"2026-07-05T11:15:17.123692+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOSUTI3BTLL2XW4W","created_at":"2026-07-05T11:15:17.123692+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOSUTI3B","created_at":"2026-07-05T11:15:17.123692+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.31585","citing_title":"Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06786","citing_title":"Kinetic Theory of Carroll Hydrodynamics","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06786","citing_title":"Kinetic Theory of Carroll Hydrodynamics","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S","json":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S.json","graph_json":"https://pith.science/api/pith-number/SOSUTI3BTLL2XW4WVY2G5ZR47S/graph.json","events_json":"https://pith.science/api/pith-number/SOSUTI3BTLL2XW4WVY2G5ZR47S/events.json","paper":"https://pith.science/paper/SOSUTI3B"},"agent_actions":{"view_html":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S","download_json":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S.json","view_paper":"https://pith.science/paper/SOSUTI3B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.05972&json=true","fetch_graph":"https://pith.science/api/pith-number/SOSUTI3BTLL2XW4WVY2G5ZR47S/graph.json","fetch_events":"https://pith.science/api/pith-number/SOSUTI3BTLL2XW4WVY2G5ZR47S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S/action/storage_attestation","attest_author":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S/action/author_attestation","sign_citation":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S/action/citation_signature","submit_replication":"https://pith.science/pith/SOSUTI3BTLL2XW4WVY2G5ZR47S/action/replication_record"}},"created_at":"2026-07-05T11:15:17.123692+00:00","updated_at":"2026-07-05T11:15:17.123692+00:00"}